% Mizar problem: e6_93_2,orders_1,2681,49 
include('Axioms/SET010^0.ax').
thf(c1_93_2_type,type,( c1_93_2__orders_1: $i )).
thf(c2_93_type,type,( c2_93__orders_1: $i )).
thf(c2_93_2_type,type,( c2_93_2__orders_1: $i )).
thf(c5_93_type,type,( c5_93__orders_1: $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v1_xtuple_0_type,type,( v1_xtuple_0: $i > $o )).
thf(rc1_xtuple_0,axiom,( ? [A: $i] : ( v1_xtuple_0 @ A ) ),file(xtuple_0,rc1_xtuple_0)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_c1_93_2__orders_1,axiom,( $true ),file(orders_1,c1_93_2__orders_1)).
thf(dt_c2_93__orders_1,axiom,( $true ),file(orders_1,c2_93__orders_1)).
thf(dt_c2_93_2__orders_1,axiom,( $true ),file(orders_1,c2_93_2__orders_1)).
thf(dt_c5_93__orders_1,axiom,( v1_relat_1 @ c5_93__orders_1 ),file(orders_1,c5_93__orders_1)).
thf(fc1_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ( v1_xtuple_0 @ ( k4_tarski @ A @ B ) ) ),file(xtuple_0,fc1_xtuple_0)).
thf(s1_relat_1,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ! [C: $i] : ? [D: $i] : ( ( v1_relat_1 @ D ) & ! [E: $i] : ! [F: $i] : ( ( r2_hidden @ ( k4_tarski @ E @ F ) @ D ) <=> ( ( r2_hidden @ E @ C ) & ( r2_hidden @ F @ B ) & ( A @ E @ F ) ) ) ) ),file(relat_1,s1_relat_1)).
thf(e6_93_2__orders_1,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ! [B: $i] : ! [C: $i] : ( ( r2_hidden @ ( k4_tarski @ B @ C ) @ A ) <=> ( ( r2_hidden @ B @ c2_93__orders_1 ) & ( r2_hidden @ C @ c2_93__orders_1 ) & ( ( r2_hidden @ ( k4_tarski @ B @ C ) @ c5_93__orders_1 ) | ( ( r2_hidden @ ( k4_tarski @ B @ c1_93_2__orders_1 ) @ c5_93__orders_1 ) & ( r2_hidden @ ( k4_tarski @ c2_93_2__orders_1 @ C ) @ c5_93__orders_1 ) ) ) ) ) ) ),file(orders_1,e6_93_2__orders_1)).
